Lesson Plan for Numbering, Worksheets, and Exams
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Lesson Plan Course Title: Computer Maintenance Session Title: Numbering Systems Lesson Duration: Lesson length is subjective and will vary from instructor to instructor Performance Objective: Upon completion of this assignment, the student will be able to identify the places in binary, decimal, and hexadecimal numbers and know the value of each. The student will work with powers of 16 and relate them to hexadecimal places, powers of 10 and relate them to decimal places, as well as powers of 2 and relate them to binary places. Specific Objectives: · Demonstrate the ability to convert decimal numbers into binary and hexadecimal numbers. · Demonstrate the ability to convert binary numbers into decimal and hexadecimal numbers. · Demonstrate the ability to convert hexadecimal numbers into decimal and binary numbers. Preparation TEKS Correlations: §130.273. Computer Maintenance (4) The student acquires an understanding of computer technologies. The student is expected to: (F) explain the relationships relative to data-communications theory Instructor/Trainer References: 1. Cisco Systems Networking Academy Program: IT Essentials I: PC Hardware and Software, Chapter 1: Information Technology Basics. 2. Cisco Systems Networking Academy Program: CCNA Semester 1, Chapter 1: Computing Basics, and Chapter 6: Layer 2 Concepts. 3. JES and Co., A+ Certification: Introduction to Computer Hardware, Lesson 8: System Settings: BIOS, IRQ, I/O, and DMA. Instructional Aids: 1. PowerPoint Presentation: Numbering Systems 2. PowerPoint Presentation Handouts: Numbering Systems 3. Worksheet exercise: Binary numbers (and key) 4. Worksheet exercise: Binary to decimal conversion (and key) 5. Worksheet exercise: Decimal to binary conversion (and key) 6. Worksheet exercise: Hexadecimal conversion (and key) 7. Numbering Systems Exam (and key) Materials Needed: 1. Copies of Worksheets for each student 2. Copies of Exam for each student IT: Computer Maintenance: Numbering Systems Plan UNT in partnership with TEA, Copyright © . All rights reserved 1 Equipment Needed: 1. A projection system to display the PowerPoint presentation [PC/Monitor, PC/Projector, etc.] Learner Students should read the appropriate curriculum material for Numbering Systems [depending on the text/curriculum being used for this course]. This lesson can be taught with only the PowerPoint presentation and worksheet handouts. Introduction MI Introduction (LSI Quadrant I): Having sharp skills in number systems will aid you in your career as an IT professional. With the ability to convert numbers without the use of a calculator, you will be able to quickly and easily solve problems that may arise. Computer systems use the binary numbering system to operate. Why do you think binary is referred to as the “natural” numbering system for computers to accomplish their tasks? [Computers and networking equipment use binary numbers, a series of BITS (short for binary digits) that are either ON (a binary 1) or OFF (a binary 0). They are encoded internally in the PC on microchips and on the computer motherboard’s bus as electrical voltages]. Understanding binary numbers and how they relate to decimal numbers is critical to understanding how computers work internally. Outline MI Outline (LSI Quadrant II): Instructor Notes: 1. Introduce numbering systems to students using a PowerPoint presentation. a. Introduce the students to the base 10 numbering system (decimal). b. Introduce the students to the base 2 numbering system (binary). c. Introduce the students to the base 16 numbering system (hexadecimal). d. Compare and contrast decimal and binary counting. e. Demonstrate decimal to binary conversion [two methods]. f. Demonstrate binary to decimal conversion [two methods]. g. Introduce hexadecimal to decimal conversion. h. Discuss basic hexadecimal numbering. i. Demonstrate hexadecimal to binary conversion. j. Demonstrate decimal to hexadecimal conversion. k. Demonstrate hexadecimal to decimal conversion. l. Demonstrate binary to hexadecimal conversion. 2. Students practice number conversion exercise using IT: Computer Maintenance: Numbering Systems Plan UNT in partnership with TEA, Copyright © . All rights reserved 2 worksheets. a. Students complete the worksheet exercise for binary numbers. b. Students complete the worksheet exercise for binary to decimal conversion. c. Students complete the worksheet exercise for decimal to binary conversion. d. Students complete the worksheet exercise for hexadecimal conversion. Application MI Guided Practice (LSI Quadrant III): 1. Teacher works through the first conversion problem on each worksheet prior to assigning the worksheet to the student for individual completion. 2. Have the students work through the second conversion problem on each worksheet with their peers; rework if necessary. 3. Teacher assists student pairs, providing guidance as necessary or has students volunteer to work/explain problem 2 for the class. MI Independent Practice (LSI Quadrant III): 1. Students work independently to complete number system worksheets: a. Students complete the worksheet exercise for binary numbers b. Students complete the worksheet exercise for binary to decimal conversion c. Students complete the worksheet exercise for decimal to binary conversion d. Students complete the worksheet exercise for hexadecimal conversion Summary MI Review (LSI Quadrants I and IV): 1. Ask students summary questions. a. What are the symbols used by base 2? [0, 1] b. What are the symbols used by base 10? [0, 1, 2, 3, 4, 5, 6, 7, 8, 9] c. What are the symbols used by base 16? [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F] d. Can you describe a method of converting a decimal number to binary? e. Can you describe a method of converting a binary number to decimal? 2. Demonstrate [one more time] the conversion procedures the students have just experienced. a. Binary to decimal example b. Decimal to binary example c. Binary to hexadecimal example d. Hexadecimal to binary example IT: Computer Maintenance: Numbering Systems Plan UNT in partnership with TEA, Copyright © . All rights reserved 3 Evaluation MI Informal Assessment (LSI Quadrant III): The teacher will monitor student progress during independent practice and provide independent re-teach/redirection as needed. MI Formal Assessment (LSI Quadrant III, IV): Administer the Numbering Systems Exam. Extension MI Extension/Enrichment (LSI Quadrant IV): 1. Students that have mastered the conversion techniques can peer-tutor students [one-on-one] that are having difficulty solving the conversions. 2. Students can show their conversion techniques on the board for the entire class to observe. 3. Students can observe their computer’s network interface card (NIC) MAC address in hexadecimal, and convert the MAC address to binary and decimal. IT: Computer Maintenance: Numbering Systems Plan UNT in partnership with TEA, Copyright © . All rights reserved 4 Personal Development Icon MI Teaching Strategies Strategies Lecture, discussion, journal Reading, highlighting, outlining, Verbal/ writing, cooperative learning, teaching others, reciting information Linguistic word origins Problem-solving, number Organizing material logically, explaining Logical/ games, critical thinking, things sequentially, finding patterns, Mathematical classifying and organizing, developing systems, outlining, charting, Socratic questioning graphing, analyzing information Mind-mapping, reflective Developing graphic organizers, mind- time, graphic organizers, mapping, charting, graphing, organizing Visual/Spatial color-coding systems, with color, mental imagery (drawing in drawings, designs, video, the mind’s eye) DVD, charts, maps Use music, compose songs Creating rhythms out of words, creating Musical/ or raps, use musical rhythms with instruments, playing an Rhythmic language or metaphors instrument, putting words to existing songs Use manipulatives, hand Moving while learning, pacing while signals, pantomime, real life reciting, acting out scripts of material, Bodily/ situations, puzzles and board designing games, moving fingers under Kinesthetic games, activities, role- words while reading playing, action problems Reflective teaching, Reflecting on personal meaning of interviews, reflective listening, information, studying in quiet settings, Intrapersonal KWL charts imagining experiments, visualizing information, journaling Cooperative learning, role- Studying in a group, discussing Interpersonal playing, group brainstorming, information, using flash cards with cross-cultural interactions others, teaching others Natural objects as Connecting with nature, forming study Naturalist manipulatives and as a groups with like-minded people background for learning Socratic questions, real life Considering the personal relationship to situations, global the larger context Existentialist problems/questions IT: Computer Maintenance: Numbering Systems Plan UNT in partnership with TEA, Copyright © . All rights reserved 5 Student Name: Date: Bin ar y t o Dec im al This binary Equals this number... 11111111decimal number 27 26 25 24 23 22 21 20 12 8 + 64 ++++++32 16 48 2 1 = 2 5 5 This binary Equals this number... 10010101decimal number 27 26 25 24 23 22 21 20 12 8 + ++++++16 4000 0 1 = 14 9 Convert each binary number into a decimal number. 1. 1 1 0 0 1 0 0 1 = 9. 0 1 1 0 1 1 1 0 = 2. 0 1 0 0 0 1 1 1 = 10. 0 0 0 1 0 1 1 1 = 3. 1 0 0 0 0 1 1 0 = 11. 1 1 1 1 1 0 0 0 = 4. 0 0 0 1 0 0 0 1 = 12. 1 1 1 0 0 0 1 0 = 5. 1 0 0 0 1 0 0 0 = 13. 0 0 0 1 1 1 0 1 = 6. 0 0 1 1 1 1 1 0 = 14. 0 1 1 0 1 1 1 1 = 7. 0 1 0 1 0 1 0 1 = 15. 1 0 0 1 0 1 1 1 = 8. 1 0 1 0 1 0 1 0 = 16. 1 1 1 0 0 1 0 1 = Computer Maintenance I: Numbering Systems Binary to Decimal Worksheet UNT in partnership with TEA, Copyright © . All rights reserved 6 Binary to Decimal Key 1 1 0 0 1 0 0 1 201 0 1 1 0 1 1 1 0 110 0 1 0 0 0 1 1 1 71 0 0 0 1 0 1 1 1 23 1 0 0 0 0 1 1 0 134 1 1 1 1 1 0 0 0 248 0 0 0 1 0 0 0 1 17 1 1 1 0 0 0 1 0 226 1 0 0 0 1 0 0 0 136 0 0 0 1 1 1 0 1 29 0 0 1 1 1 1 1 0 62 0 1 1 0 1 1 1 1 111 0 1 0 1 0 1 0 1 85 1 0 0 1 0 1 1 1 151 1 0 1 0 1 0 1 0 170 1 1 1 0 0 1 0 1 229 Computer Maintenance I: Numbering Systems Binary to Decimal Key UNT in partnership with TEA, Copyright © .